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Elliptic integrals
11-01-2017, 10:00 AM (This post was last modified: 11-02-2017 05:47 PM by salvomic.)
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Elliptic integrals
hi everybody,
I put in the Prime Software Library a first attempt to make a program to handle Elliptical integrals (1st, 2nd and 3rd kind).
It calculate:
ell1F(x, k) -> F, Elliptic integral of first kind
ell2E(x, k) -> E, Elliptic integral of second kind
ell3∏(x, k, n) -> ∏, Elliptic integral of third kind
But it needs to have some controls to avoid singular values and other issues.
More, it could be expanded to calc also sn(), cn(), dn() [sometimes called amplitude sine, amplitude cosine, delta amplitude] and other parameters...
In that program k is the "eccentricity", n (only for 3rd type) is a number called "characteristic" of the various curves.
The program handle the "incomplete" integrals. For now, to attempt the complete ones, put x=1.

I invite to collaborate and make a stronger and more stable and useful program, if you want.
Thank you! you're welcome.

Salvo M.

∫aL√0mic (IT9CLU) :: HP Prime 50g 41CX 71b 42s 39s 35s 12C 15C - DM42, DM41X - WP34s Prime Soft. Lib
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Messages In This Thread
Elliptic integrals - salvomic - 11-01-2017 10:00 AM
RE: Elliptic integrals - salvomic - 11-02-2017, 05:42 PM
RE: Elliptic integrals - AlexFekken - 11-03-2017, 01:54 PM
RE: Elliptic integrals - salvomic - 11-03-2017, 03:41 PM
RE: Elliptic integrals - Eddie W. Shore - 11-07-2017, 12:51 PM
RE: Elliptic integrals - salvomic - 11-07-2017, 01:30 PM

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